144979296 has 144 divisors (see below), whose sum is σ = 478340352. Its totient is φ = 37635840.

The previous prime is 144979277. The next prime is 144979297. The reversal of 144979296 is 692979441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144979297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80421 + ... + 82203.

It is an arithmetic number, because the mean of its divisors is an integer number (3321808).

Almost surely, 2^144979296 is an apocalyptic number.

144979296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144979296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239170176).

144979296 is an abundant number, since it is smaller than the sum of its proper divisors (333361056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144979296 is a wasteful number, since it uses less digits than its factorization.

144979296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1806 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The square root of 144979296 is about 12040.7348612948. The cubic root of 144979296 is about 525.3337813963. Note that the first 3 decimals are identical.

The spelling of 144979296 in words is "one hundred forty-four million, nine hundred seventy-nine thousand, two hundred ninety-six".